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Finding the Third Proportional to 396,176 and 864,608

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Solution

The third proportional to 396,176 and 864,608 is: 1,886,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,176 : 864,608 = 864,608 : x
  2. Step 2: Convert to fraction form
    396,176/864,608 = 864,608/x
  3. Step 3: Cross multiply
    396,176x = 864,608 × 864,608
  4. Step 4: Simplify right side
    396,176x = 747,546,993,664
  5. Step 5: Solve for x
    x = 747,546,993,664/396,176
  6. Step 6: Final answer
    x = 1,886,906.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.